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1002222212220 = 2232510354057293
BaseRepresentation
bin11101001010110010001…
…10010101010001111100
310112210220120220111120100
432211121012111101330
5112410022341242340
62044225312121100
7132260000146605
oct16453106252174
93483816814510
101002222212220
11357049346919
121422a2236190
13736807a6508
1436717626dac
151b10b8be830
hexe95919547c

1002222212220 has 72 divisors (see below), whose sum is σ = 3069589382496. Its totient is φ = 264664501632.

The previous prime is 1002222212203. The next prime is 1002222212267. The reversal of 1002222212220 is 222122222001.

1002222212220 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 221 + 2 + 220 = 666.

1002222212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002222212193 and 1002222212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27010107 + ... + 27047186.

It is an arithmetic number, because the mean of its divisors is an integer number (42633185868).

Almost surely, 21002222212220 is an apocalyptic number.

1002222212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002222212220 is an abundant number, since it is smaller than the sum of its proper divisors (2067367170276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002222212220 is a wasteful number, since it uses less digits than its factorization.

1002222212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54057411 (or 54057406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002222212220 its reverse (222122222001), we get a palindrome (1224344434221).

The spelling of 1002222212220 in words is "one trillion, two billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 54057293 108114586 162171879 216229172 270286465 324343758 486515637 540572930 648687516 810859395 973031274 1081145860 1621718790 1946062548 2432578185 3243437580 4865156370 5567901179 9730312740 11135802358 16703703537 22271604716 27839505895 33407407074 50111110611 55679011790 66814814148 83518517685 100222221222 111358023580 167037035370 200444442444 250555553055 334074070740 501111106110 1002222212220